- #1

chwala

Gold Member

- 2,708

- 374

- Homework Statement
- Solve for ##x## and ##y## given;

##\sqrt x+ y=7##

##x+\sqrt y=11##

- Relevant Equations
- Simultaneous equations

I saw this problem on you tube ... The working to solution is much clear to me. Find the link here;

I am now trying to look at an alternative approach. My thinking is as follows;

##\sqrt x=7-y##

##x=(7-y)^2##

##(7-y)^2+\sqrt y=11##

##49-14y+y^2+\sqrt y=11##

i then let ##\sqrt y=m## giving me,

##m^4-14m^2+m+38=0## at this point i am now exploring ways of solving quartic equations...looking at it...then will respond on my finding...i hope i am on the right path...

I am now trying to look at an alternative approach. My thinking is as follows;

##\sqrt x=7-y##

##x=(7-y)^2##

##(7-y)^2+\sqrt y=11##

##49-14y+y^2+\sqrt y=11##

i then let ##\sqrt y=m## giving me,

##m^4-14m^2+m+38=0## at this point i am now exploring ways of solving quartic equations...looking at it...then will respond on my finding...i hope i am on the right path...